The Calculus Canned Corn Company's production facility has a weekly overhead cost of $1000 with a unit cost of producing each can of $0.66 plus the cost of the cantself (from part 2). Cost of can 19 lecents 1. Find the total cost C(D) in dollars of producing D cans of sauce.
The Calculus Canned Corn Company's production facility has a weekly overhead cost of $1000 with a unit cost of producing each can of $0.66 plus the cost of the cantself (from part 2). Cost of can 19 lecents 1. Find the total cost C(D) in dollars of producing D cans of sauce.
Chapter1: Financial Statements And Business Decisions
Section: Chapter Questions
Problem 1Q
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![3 OPTIMAL PRICING TO MAXIMIZE PROFIT
The Calculus Canned Corn Company's production facility has a weekly overhead cost of $1000
with a unit cost of producing each can of $0.66 plus the cost of the can itself (from part 2).
1. Find the total cost C(D) in dollars of producing D cans of sauce.
Cost of can 19 lo cents.
2. Use previously-determined information to find C(p), the total cost in dollars to produce
enough cans to satisfy demand when the price is p dollars. (That is, replace D with an
expression in terms of price.)
3. Profit is the defined as Revenue minus Cost. Find the total profit P(p) in dollars as a function
of the unit price p in dollars. It is a good idea to use parentheses in order to avoid a sign
error
4. Use technology and calculus to determine the price at which profit is maximized and the
profit that will be attained. There are multiple correct methods. Explain/show your approach
and results in the space below.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0f8e76e9-b615-4c21-9322-95ee6ed50807%2F0708b7d7-e5e2-4934-92f6-0de337986a18%2F11cby9o_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3 OPTIMAL PRICING TO MAXIMIZE PROFIT
The Calculus Canned Corn Company's production facility has a weekly overhead cost of $1000
with a unit cost of producing each can of $0.66 plus the cost of the can itself (from part 2).
1. Find the total cost C(D) in dollars of producing D cans of sauce.
Cost of can 19 lo cents.
2. Use previously-determined information to find C(p), the total cost in dollars to produce
enough cans to satisfy demand when the price is p dollars. (That is, replace D with an
expression in terms of price.)
3. Profit is the defined as Revenue minus Cost. Find the total profit P(p) in dollars as a function
of the unit price p in dollars. It is a good idea to use parentheses in order to avoid a sign
error
4. Use technology and calculus to determine the price at which profit is maximized and the
profit that will be attained. There are multiple correct methods. Explain/show your approach
and results in the space below.
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